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Simplifying -2x + 12 = 9(x + 5) Reorder the terms: 12 + -2x = 9(x + 5) Reorder the terms: 12 + -2x = 9(5 + x) 12 + -2x = (5 * 9 + x * 9) 12 + -2x = (45 + 9x) Solving 12 + -2x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -2x + -9x = 45 + 9x + -9x Combine like terms: -2x + -9x = -11x 12 + -11x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -11x = 45 + 0 12 + -11x = 45 Add '-12' to each side of the equation. 12 + -12 + -11x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 45 + -12 -11x = 45 + -12 Combine like terms: 45 + -12 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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